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Torus Actions and Integrable Systems

Nguyen Tien Zung

math.DSarXiv:math/0407455

Abstract

This is a survey on natural local torus actions which arise in integrable dynamical systems, and their relations with other subjects, including: reduced integrability, local normal forms, affine structures, monodromy, global invariants, integrable surgery, convexity properties of momentum maps, localization formulas, integrable PDEs.

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